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Simplify the Rational Expression 25(x23)3+125x(x23)4625(x23)3\frac { 25 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 125 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 625 \left( x ^ { 2 } - 3 \right) ^ { 3 } }

Question 363

Multiple Choice

Simplify the rational expression. Use factoring, and assume all variable expressions represent positive real numbers.
- 25(x23) 3+125x(x23) 4625(x23) 3\frac { 25 \left( x ^ { 2 } - 3 \right) ^ { 3 } + 125 x \left( x ^ { 2 } - 3 \right) ^ { 4 } } { 625 \left( x ^ { 2 } - 3 \right) ^ { 3 } }


A) 1+5x315x25\frac { 1 + 5 x ^ { 3 } - 15 x } { 25 }
B) 15x315x125\frac { 1 - 5 x ^ { 3 } - 15 x } { 125 }
C) 1+5x3+15x25\frac { 1 + 5 x ^ { 3 } + 15 x } { 25 }
D) 15x3+15x125\frac { 1 - 5 x ^ { 3 } + 15 x } { 125 }

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